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Uncertainty, Calibration and Probability: The Statistics of Scientific and Industrial Measurement: Series in Measurement Science and Technology

Autor C.F Dietrich
en Limba Engleză Hardback – 1991
All measurements are subject to error because no quantity can be known exactly; hence, any measurement has a probability of lying within a certain range. The more precise the measurement, the smaller the range of uncertainty. Uncertainty, Calibration and Probability is a comprehensive treatment of the statistics and methods of estimating these calibration uncertainties.

The book features the general theory of uncertainty involving the combination (convolution) of non-Gaussian, student t, and Gaussian distributions; the use of rectangular distributions to represent systematic uncertainties; and measurable and nonmeasurable uncertainties that require estimation. The author also discusses sources of measurement errors and curve fitting with numerous examples of uncertainty case studies. Many useful tables and computational formulae are included as well. All formulations are discussed and demonstrated with the minimum of mathematical knowledge assumed.

This second edition offers additional examples in each chapter, and detailed additions and alterations made to the text. New chapters consist of the general theory of uncertainty and applications to industry and a new section discusses the use of orthogonal polynomials in curve fitting.

Focusing on practical problems of measurement, Uncertainty, Calibration and Probability is an invaluable reference tool for R&D laboratories in the engineering/manufacturing industries and for undergraduate and graduate students in physics, engineering, and metrology.
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Specificații

ISBN-13: 9780750300605
ISBN-10: 0750300604
Pagini: 554
Ilustrații: 1
Dimensiuni: 156 x 234 x 36 mm
Greutate: 1.19 kg
Ediția:1
Editura: CRC Press
Colecția CRC Press
Seria Series in Measurement Science and Technology


Public țintă

Professional

Cuprins

Uncertainties and frequency distributions. The Gaussian distribution. General distributions. Rectangular distributions. Applications. Distributions ancillary to the Gaussian. A general theory of uncertainty. The estimation of calibration uncertainties. Consistency and significance tests. Method of least squares. Theorems of Bernoulli and Stirling and the binomial, Poisson and hypergeometric distributions. Appendices. Bibliography. Index.

Descriere

This book features the general theory of uncertainty involving the combination (convolution) of non-Gaussian, student t, and Gaussian distributions; the use of rectangular distributions to represent systematic uncertainties; and measurable and nonmeasurable uncertainties that require estimation. The author also describes sources of measurement errors and curve fitting with numerous examples of uncertainty case studies as well as useful tables and computational formulae. With additional examples in each chapter, this second edition includes new chapters on the general theory of uncertainty and applications to industry and a new section that discusses the use of orthogonal polynomials in curve fitting.